A man is 10 times older than his grandson.

Let the age of the grandson be $\mathrm{x}$ years.

Then, his grandfather's age will be $10 \mathrm{x}$.

Also, the grandfather is 54 years older than his grandson.

$\therefore$ Age of the grandson $=\mathrm{x}+54$

$10 x=x+54$

$\Rightarrow 10 x-x=54$

$\Rightarrow 9 x=54$

$\Rightarrow x=\frac{54}{9}=6$

Therefore, the grandson's age is 6 years.

Grandfather's age $=10(\mathrm{x})=10 \times 6=60$ years